{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Copyright (c) Facebook, Inc. and its affiliates. All rights reserved."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Render a textured mesh\n",
    "\n",
    "This tutorial shows how to:\n",
    "- load a mesh and textures from an `.obj` file. \n",
    "- set up a renderer \n",
    "- render the mesh \n",
    "- vary the rendering settings such as lighting and camera position\n",
    "- use the batching features of the pytorch3d API to render the mesh from different viewpoints"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Import modules"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "import torch\n",
    "import matplotlib.pyplot as plt\n",
    "from skimage.io import imread\n",
    "\n",
    "# Util function for loading meshes\n",
    "from pytorch3d.io import load_obj\n",
    "\n",
    "# Data structures and functions for rendering\n",
    "from pytorch3d.structures import Meshes, Textures\n",
    "from pytorch3d.renderer import (\n",
    "    look_at_view_transform,\n",
    "    OpenGLPerspectiveCameras, \n",
    "    PointLights, \n",
    "    DirectionalLights, \n",
    "    Materials, \n",
    "    RasterizationSettings, \n",
    "    MeshRenderer, \n",
    "    MeshRasterizer,  \n",
    "    TexturedPhongShader\n",
    ")\n",
    "\n",
    "# add path for demo utils\n",
    "import sys\n",
    "import os\n",
    "sys.path.append(os.path.abspath(''))\n",
    "from utils import image_grid"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "### Load a mesh and texture file\n",
    "\n",
    "Load an `.obj` file and it's associated `.mtl` file and create a **Textures** and **Meshes** object. \n",
    "\n",
    "**Meshes** is a unique datastructure provided in PyTorch3d for working with batches of meshes of different sizes. \n",
    "\n",
    "**Textures** is an auxillary datastructure for storing texture information about meshes. \n",
    "\n",
    "**Meshes** has several class methods which are used throughout the rendering pipeline."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Setup\n",
    "device = torch.device(\"cuda:0\")\n",
    "torch.cuda.set_device(device)\n",
    "\n",
    "# Set paths\n",
    "DATA_DIR = \"./data\"\n",
    "obj_filename = os.path.join(DATA_DIR, \"cow_mesh/cow.obj\")\n",
    "\n",
    "# Load obj file\n",
    "verts, faces, aux = load_obj(obj_filename)\n",
    "faces_idx = faces.verts_idx.to(device)\n",
    "verts = verts.to(device)\n",
    "\n",
    "# Get textures from the outputs of the load_obj function\n",
    "# the `aux` variable contains the texture maps and vertex uv coordinates. \n",
    "# Refer to the `obj_io.load_obj` function for full API reference. \n",
    "# Here we only have one texture map for the whole mesh. \n",
    "verts_uvs = aux.verts_uvs[None, ...].to(device)       # (N, V, 2)\n",
    "faces_uvs = faces.textures_idx[None, ...].to(device)  # (N, F, 3)\n",
    "tex_maps = aux.texture_images\n",
    "texture_image = list(tex_maps.values())[0]\n",
    "texture_image = texture_image[None, ...].to(device)   # (N, H, W, 3)\n",
    "\n",
    "# Create a textures object\n",
    "tex = Textures(verts_uvs=verts_uvs, faces_uvs=faces_uvs, maps=texture_image)\n",
    "\n",
    "# Create a meshes object with textures\n",
    "mesh = Meshes(verts=[verts], faces=[faces_idx], textures=tex)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Let's visualize the texture map"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.5, 1023.5, 1023.5, -0.5)"
      ]
     },
     "execution_count": 3,
     "metadata": {
      "bento_obj_id": "139743440981360"
     },
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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ThM/n5/X/LmTxF8uoqKwiqKoc7V/pSEri3jtvY/L4sVGsMgyyCo/6H09CSgihOw1wubr4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\n+hv2PNmUyuutLwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "bento_obj_id": "139743762731920"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7,7))\n",
    "plt.imshow(texture_image.squeeze().cpu().numpy())\n",
    "plt.grid(\"off\")\n",
    "plt.axis('off')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Create a renderer\n",
    "\n",
    "A renderer in PyTorch3d is composed of a **rasterizer** and a **shader** which each have a number of subcomponents such as a **camera** (orthgraphic/perspective). Here we initialize some of these components and use default values for the rest.\n",
    "\n",
    "In this example we will first create a **renderer** which uses a **perspective camera**, a **point light** and applies **phong shading**. Then we learn how to vary different components using the modular API.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Initialize an OpenGL perspective camera.\n",
    "R, T = look_at_view_transform(2.7, 10, 20)\n",
    "cameras = OpenGLPerspectiveCameras(device=device, R=R, T=T)\n",
    "\n",
    "# Define the settings for rasterization and shading. Here we set the output image to be of size\n",
    "# 512x512. As we are rendering images for visualization purposes only we will set faces_per_pixel=1\n",
    "# and blur_radius=0.0. Refer to rasterize_meshes.py for explanations of these parameters. \n",
    "raster_settings = RasterizationSettings(\n",
    "    image_size=512, \n",
    "    blur_radius=0.0, \n",
    "    faces_per_pixel=1, \n",
    "    bin_size=0\n",
    ")\n",
    "\n",
    "# Place a point light in front of the object\n",
    "lights = PointLights(device=device, location=[[1.0, 1.0, -2.0]])\n",
    "\n",
    "# Create a phong renderer by composing a rasterizer and a shader. The textured phong shader will \n",
    "# interpolate the texture uv coordinates for each vertex, sample from a texture image and \n",
    "# apply the Phong lighting model\n",
    "renderer = MeshRenderer(\n",
    "    rasterizer=MeshRasterizer(\n",
    "        cameras=cameras, \n",
    "        raster_settings=raster_settings\n",
    "    ),\n",
    "    shader=TexturedPhongShader(\n",
    "        device=device, \n",
    "        cameras=cameras,\n",
    "        lights=lights\n",
    "    )\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Render the mesh"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The light is in front of the object so it is bright and the image has specular highlights."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.5, 511.5, 511.5, -0.5)"
      ]
     },
     "execution_count": 5,
     "metadata": {
      "bento_obj_id": "139743386282224"
     },
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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GGA6GyPMchfv/RblO0k40eY5OWQuZqk2AnzytPbHjN2P0tlu6kvtSWTGUY3ll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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "bento_obj_id": "139743441074064"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "images = renderer(mesh)\n",
    "plt.figure(figsize=(10, 10))\n",
    "plt.imshow(images[0, ..., :3].cpu().numpy())\n",
    "plt.grid(\"off\")\n",
    "plt.axis(\"off\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Move the light behind the object and re-render\n",
    "\n",
    "We can pass arbirary keyword arguments to the `rasterizer`/`shader` via the call to the `renderer` so the renderer does not need to be reinitialized if any of the settings change/\n",
    "\n",
    "In this case, we can simply update the location of the lights and pass them into the call to the renderer. \n",
    "\n",
    "The image is now dark as there is only ambient lighting, and there are no specular highlights."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "lights.location = torch.tensor([0.0, 0.0, +1.0], device=device)[None]\n",
    "images = renderer(mesh, lights=lights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.5, 511.5, 511.5, -0.5)"
      ]
     },
     "execution_count": 7,
     "metadata": {
      "bento_obj_id": "139743432353072"
     },
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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k6aGFiJBbjTdQuayqXDdS6CjC+ACBu0889ihObGw0g5SNqsveiGjbYGK79rTG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\ngQgASE8gAgDSE4gAgPT+Hy/M7WDcCQoxAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "bento_obj_id": "139743401094992"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 10))\n",
    "plt.imshow(images[0, ..., :3].cpu().numpy())\n",
    "plt.grid(\"off\")\n",
    "plt.axis(\"off\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Rotate the object, modify the material properties or light properties\n",
    "\n",
    "We can also change many other settings in the rendering pipeline. Here we:\n",
    "\n",
    "- change the **viewing angle** of the camera\n",
    "- change the **position** of the point light\n",
    "- change the **material reflectance** properties of the mesh"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Rotate the object by increasing the azimuth angle\n",
    "R, T = look_at_view_transform(dist=2.7, elev=10, azim=50)\n",
    "cameras = OpenGLPerspectiveCameras(device=device, R=R, T=T)\n",
    "\n",
    "# Move the light location to be in front of the object again\n",
    "lights.location = torch.tensor([[5.0, 5.0, -2.0]], device=device)\n",
    "\n",
    "# Change specular color to green and change material shininess \n",
    "materials = Materials(\n",
    "    device=device,\n",
    "    specular_color=[[0.0, 1.0, 0.0]],\n",
    "    shininess=10.0\n",
    ")\n",
    "\n",
    "# Re render the mesh, passing in keyword arguments for the modified components.\n",
    "images = renderer(mesh, lights=lights, materials=materials, cameras=cameras)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.5, 511.5, 511.5, -0.5)"
      ]
     },
     "execution_count": 9,
     "metadata": {
      "bento_obj_id": "139743401155952"
     },
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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hbRo88tGPAi7sHn7BYqJDUiVUTyVT26TpGDpTH0JiNuE4leHnx6RzxB6UwSUS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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "bento_obj_id": "139743432059792"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 10))\n",
    "plt.imshow(images[0, ..., :3].cpu().numpy())\n",
    "plt.grid(\"off\")\n",
    "plt.axis(\"off\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Batched Rendering\n",
    "\n",
    "One of the core design choices of the PyTorch3d API is to suport **batched inputs for all components**. \n",
    "The renderer and associated components can take batched inputs and **render a batch of output images in one forward pass**. We will now use this feature to render the mesh from many different viewpoints.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Set batch size - this is the number of different viewpoints from which we want to render the mesh.\n",
    "batch_size = 20\n",
    "\n",
    "# Create a batch of meshes by repeating the cow mesh and associated textures. \n",
    "# Meshes has a useful `extend` method which allows us do this very easily. \n",
    "# This also extends the textures. \n",
    "meshes = mesh.extend(batch_size)\n",
    "\n",
    "# Get a batch of viewing angles. \n",
    "elev = torch.linspace(0, 360, batch_size)\n",
    "azim = torch.linspace(0, 360, batch_size)\n",
    "\n",
    "# All the cameras helper methods support mixed type inputs and broadcasting. So we can \n",
    "# view the camera from the same distance and specify dist=2.7 as a float,\n",
    "# and then specify elevation and azimuth angles for each viewpoint as tensors. \n",
    "R, T = look_at_view_transform(dist=2.7, elev=elev, azim=azim)\n",
    "cameras = OpenGLPerspectiveCameras(device=device, R=R, T=T)\n",
    "\n",
    "# Move the light back in front of the object\n",
    "lights.location = torch.tensor([[1.0, 1.0, -5.0]], device=device)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# We can pass arbirary keyword arguments to the rasterizer/shader via the renderer\n",
    "# so the renderer does not need to be reinitialized if any of the settings change.\n",
    "images = renderer(meshes, cameras=cameras, lights=lights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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+otttxDvz5HAIFfkIjtnHzmoelqjh2ioYRXoQw0vJM3MZbfuTMDHFBR669Rrs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RkUJ/wscamOgGTuvosv333980KNl9N5z02uNzV2xzY2Hs1I18qYbne24hZalM+YZG2W2mvijE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\nZ0mJE+ecc7Yy+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      "text/plain": [
       "<Figure size 1080x648 with 20 Axes>"
      ]
     },
     "metadata": {
      "bento_obj_id": "139743401261328"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "image_grid(images.cpu().numpy(), rows=4, cols=5, rgb=True)"
   ]
  }
 ],
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  "kernelspec": {
   "display_name": "pytorch3d (local)",
   "language": "python",
   "name": "pytorch3d_local"
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  "language_info": {
   "codemirror_mode": {
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   "file_extension": ".py",
   "mimetype": "text/x-python",
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   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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